137368000 has 224 divisors, whose sum is σ = 426037248. Its totient is φ = 42624000.

The previous prime is 137367977. The next prime is 137368009. The reversal of 137368000 is 863731.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 137368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137368009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615889 + ... + 616111.

It is an arithmetic number, because the mean of its divisors is an integer number (1901952).

Almost surely, 2^137368000 is an apocalyptic number.

137368000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213018624).

137368000 is an abundant number, since it is smaller than the sum of its proper divisors (288669248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137368000 is a wasteful number, since it uses less digits than its factorization.

137368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 137368000 is about 11720.4095491583. The cubic root of 137368000 is about 515.9748400288.

It can be divided in two parts, 13736 and 8000, that added together give a triangular number (21736 = T₂₀₈).

The spelling of 137368000 in words is "one hundred thirty-seven million, three hundred sixty-eight thousand".